Decentralized Periodic Event-Triggered Control for Large-Scale Systems With Unknown Nonlinear Interconnections and Measurement Delays

This article considers the problem of output feedback-based decentralized periodic event-triggered control (PETC) for a class of large-scale systems with unknown nonlinear interconnections and measurement delays. When only the delayed sampled-data measurement output is accessible, a novel decentralized high-gain observer is first proposed based on an output predictor for each subsystem. Then, a set of decentralized sampled-data output feedback controllers that are driven by asynchronous periodic event-triggering conditions is developed to globally exponentially stabilize the large-scale systems. With the help of small-gain arguments and feedback domination approach, a rigorous stability analysis shows that there exist some sufficient conditions to ensure the global exponential stability of the overall systems. Different from the sample-and-hold implementation of output information, this article employs the prediction technique to obtain the current output prediction for each subsystem, which in turn effectively compensates for the undesirable effects of measurement delays and information loss. Finally, simulation results are presented to demonstrate the effectiveness of the proposed control method.